Canfora, Albino On an elliptic equation in three variables not verifying Cordes’ conditions. (Italian) Zbl 0595.35036 Methods of functional analysis and theory of elliptic equations, Proc. Int. Meet dedic. Mem. C. Miranda, Naples/Italy 1982, 333-342 (1983). Reviewer: W.Wendt MSC: 35J15 35R05 58J20 47H10 PDFBibTeX XML
Müller, Werner Signature defects of cusps of Hilbert modular varieties and values of L- series at \(s=1\). (English) Zbl 0588.10031 Semin. Anal. 1982/83, 118-149 (1983). MSC: 11F41 14J17 11F67 58J20 11F70 PDFBibTeX XML
Wawrzyńczyk, Antoni Index theorems and discrete series representations of semisimple Lie groups. (English) Zbl 0578.22017 Ann. Global Anal. Geom. 1, No. 3, 93-101 (1983). Reviewer: Tom H. Koornwinder (Amsterdam) MSC: 22E46 58J20 PDFBibTeX XMLCite \textit{A. Wawrzyńczyk}, Ann. Global Anal. Geom. 1, No. 3, 93--101 (1983; Zbl 0578.22017) Full Text: DOI
Gilkey, Peter B. Secondary characteristic classes of locally flat bundles over lens spaces in dimension 3. (English) Zbl 0575.58031 Differential geometric control theory, Proc. Conf., Mich. Technol. Univ. 1982, Prog. Math. 27, 237-258 (1983). MSC: 58J20 57R20 55S25 PDFBibTeX XML
Bojarski, B. Connections between complex and global analysis: Some analytical and geometrical aspects of the Riemann-Hilbert transmission problem. (English) Zbl 0566.58034 Complex analysis. Methods, trends, and applications, Math. Lehrbücher Monogr., II. Abt., Math. Monogr. 61, 97-110 (1983). Reviewer: Yu.Latushkin MSC: 58J20 30E25 PDFBibTeX XML
Tóth, G. On the Atiyah-Singer index theorem. VIII. (Hungarian) Zbl 0563.58028 Mat. Lapok 31, 267-292 (1983). Reviewer: J.Virsik MSC: 58J20 58-02 53C05 15A66 PDFBibTeX XMLCite \textit{G. Tóth}, Mat. Lapok 31, 267--292 (1983; Zbl 0563.58028)
Tóth, G. On the Atiyah-Singer index theorem. VII. (Hungarian) Zbl 0563.58027 Mat. Lapok 31, 251-265 (1983). Reviewer: J.Virsik MSC: 58J20 58-02 PDFBibTeX XMLCite \textit{G. Tóth}, Mat. Lapok 31, 251--265 (1983; Zbl 0563.58027)
Tóth, Gábor On the Atiyah-Singer index theorem. V-VI. (Hungarian) Zbl 0562.55017 Mat. Lapok 31, 67-106 (1983). MSC: 55R50 55R25 55R40 55R45 58J20 PDFBibTeX XMLCite \textit{G. Tóth}, Mat. Lapok 31, 67--106 (1983; Zbl 0562.55017)
Booss, Bernhelm; Schulze, Bert-Wolfgang Index theory and elliptic boundary value problems. Remarks and open problems. (English) Zbl 0545.58040 Partial differential equations, Banach Cent. Publ. 10, 33-57 (1983). Reviewer: V.Deundjak MSC: 58J20 58J32 PDFBibTeX XML Full Text: EuDML
Betina, Kamel Sur l’indice des opérateurs différentiels ordinaires. (French) Zbl 0544.58001 Equations différentielles et systèmes de Pfaff dans le champ complexe. II, Sémin. Strasbourg, Lect. Notes Math. 1015, 1-49 (1983). Reviewer: S.Tajima MSC: 58A17 58J15 58J20 PDFBibTeX XML
Stern, Ronald J. Instantons and the topology of 4-manifolds. (English) Zbl 0544.57003 Math. Intell. 5, No. 3, 39-44 (1983). Reviewer: E.Vogt MSC: 57N13 58J20 53C05 57-02 PDFBibTeX XMLCite \textit{R. J. Stern}, Math. Intell. 5, No. 3, 39--44 (1983; Zbl 0544.57003) Full Text: DOI
Gardner, Robert A. On the detonation of combustible gas. (English) Zbl 0543.76152 Trans. Am. Math. Soc. 277, 431-468 (1983). MSC: 76V05 80A25 58J20 PDFBibTeX XMLCite \textit{R. A. Gardner}, Trans. Am. Math. Soc. 277, 431--468 (1983; Zbl 0543.76152) Full Text: DOI
Getzler, Ezra Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem. (English) Zbl 0543.58026 Commun. Math. Phys. 92, No. 2, 163-178 (1983). Reviewer: N. Papaghiuc MSC: 58J40 35S05 58J20 53C27 53C20 58A50 PDFBibTeX XMLCite \textit{E. Getzler}, Commun. Math. Phys. 92, 163--178 (1983; Zbl 0543.58026) Full Text: DOI
Bismut, Jean-Michel Le théorème d’Atiyah-Singer pour les opérateurs elliptiques classiques: une approche probabiliste. (French) Zbl 0539.58034 C. R. Acad. Sci., Paris, Sér. I 297, 481-484 (1983). Reviewer: D.Lepingle MSC: 58J20 58J35 57R20 58J65 PDFBibTeX XMLCite \textit{J.-M. Bismut}, C. R. Acad. Sci., Paris, Sér. I 297, 481--484 (1983; Zbl 0539.58034)
Gromov, Mikhael; Lawson, H. Blaine jun. Positive scalar curvature and the Dirac operator on complete Riemannian manifolds. (English) Zbl 0538.53047 Publ. Math., Inst. Hautes Étud. Sci. 58, 83-196 (1983). Reviewer: J.P.Bourguignon MSC: 53C20 53C27 58J20 PDFBibTeX XMLCite \textit{M. Gromov} and \textit{H. B. Lawson jun.}, Publ. Math., Inst. Hautes Étud. Sci. 58, 83--196 (1983; Zbl 0538.53047) Full Text: DOI Numdam EuDML
Barbasch, Dan; Moscovici, Henri \(L^ 2\)-index and the Selberg trace formula. (English) Zbl 0537.58039 J. Funct. Anal. 53, 151-201 (1983). Reviewer: V.Deundjak MSC: 58J20 22E46 PDFBibTeX XMLCite \textit{D. Barbasch} and \textit{H. Moscovici}, J. Funct. Anal. 53, 151--201 (1983; Zbl 0537.58039) Full Text: DOI
Baum, Helga The index of the pseudo-Riemannian Dirac operator as a transversally Elliptic operator. (English) Zbl 0535.58039 Ann. Global Anal. Geom. 1, No. 2, 11-20 (1983). MSC: 58J20 58J70 53C50 PDFBibTeX XMLCite \textit{H. Baum}, Ann. Global Anal. Geom. 1, No. 2, 11--20 (1983; Zbl 0535.58039) Full Text: DOI
Rempel, Stephan; Schulze, Bert-Wolfgang A theory of pseudo-differential boundary value problems with discontinuous conditions. IV. (English) Zbl 0534.35039 Prepr., Akad. Wiss. DDR, Inst. Math. P-MATH-25/83, 66 p. (1983). Reviewer: N.Vasilevski MSC: 35J40 35R05 58J32 47A53 58J20 PDFBibTeX XML
Rempel, Stephan; Schulze, Bert-Wolfgang A theory of pseudo-differential boundary value problems with discontinuous conditions. III. (English) Zbl 0534.35038 Prepr., Akad. Wiss. DDR, Inst. Math. P-MATH-24/83, 40 p. (1983). Reviewer: N.Vasilevski MSC: 35J40 35R05 58J32 47A53 58J20 58J40 35S15 PDFBibTeX XML
Hitchin, Nigel J. The Yang-Mills equations and the topology of 4-manifolds [after Simon K. Donaldson]. (English) Zbl 0533.57007 Sémin. Bourbaki, 35e année, 1980/81, Exp. 606, Astérisque 105-106, 167-178 (1983). Reviewer: U.Abresch MSC: 57N13 58J10 53C05 58J20 PDFBibTeX XML Full Text: Numdam EuDML
Alvarez-Gaumé, Luis A note on the Atiyah-Singer index theorem. (English) Zbl 0532.58029 J. Phys. A 16, 4177-4182 (1983). Reviewer: W.Wreszinski MSC: 58J20 37J99 81T60 PDFBibTeX XMLCite \textit{L. Alvarez-Gaumé}, J. Phys. A, Math. Gen. 16, 4177--4182 (1983; Zbl 0532.58029) Full Text: DOI
Donnelly, Harold; Fefferman, Charles \(L^ 2\)-cohomology and index theorem for the Bergman metric. (English) Zbl 0532.58027 Ann. Math. (2) 118, 593-618 (1983). MSC: 58J10 32T99 32A25 53C55 53C15 58J60 58A14 35N15 55N20 35C20 58J20 PDFBibTeX XMLCite \textit{H. Donnelly} and \textit{C. Fefferman}, Ann. Math. (2) 118, 593--618 (1983; Zbl 0532.58027) Full Text: DOI
Rempel, Stephan; Schmitt, T. Pseudo-differential operators and the index theorem on supermanifolds. (English) Zbl 0531.58047 Math. Nachr. 111, 153-175 (1983). Reviewer: M.E.Mayer MSC: 58J20 58J40 43A32 PDFBibTeX XMLCite \textit{S. Rempel} and \textit{T. Schmitt}, Math. Nachr. 111, 153--175 (1983; Zbl 0531.58047) Full Text: DOI
Sullivan, D.; Teleman, N. An analytic proof of Novikov’s theorem on rational Pontrjagin classes. (English) Zbl 0531.58045 Publ. Math., Inst. Hautes Étud. Sci. 58, 291-293 (1983). Reviewer: J.Dodziuk MSC: 58J20 57R20 57N65 58J22 57Q99 47A53 PDFBibTeX XMLCite \textit{D. Sullivan} and \textit{N. Teleman}, Publ. Math., Inst. Hautes Étud. Sci. 58, 291--293 (1983; Zbl 0531.58045) Full Text: DOI Numdam EuDML
Teleman, Nicolae The index of signature operators on Lipschitz manifolds. (English) Zbl 0531.58044 Publ. Math., Inst. Hautes Étud. Sci. 58, 251-290 (1983). Reviewer: J.Dodziuk MSC: 58J20 47A53 57R20 58J22 58A14 57Q99 PDFBibTeX XMLCite \textit{N. Teleman}, Publ. Math., Inst. Hautes Étud. Sci. 58, 251--290 (1983; Zbl 0531.58044) Full Text: DOI Numdam EuDML
Mueller, Werner Spectral theory for Riemannian manifolds with cusps and a related trace formula. (English) Zbl 0529.58035 Math. Nachr. 111, 197-288 (1983). MSC: 58J50 35P05 58J10 58J20 58J35 PDFBibTeX XMLCite \textit{W. Mueller}, Math. Nachr. 111, 197--288 (1983; Zbl 0529.58035) Full Text: DOI
Cheeger, Jeff Spectral geometry of singular Riemannian spaces. (English) Zbl 0529.58034 J. Differ. Geom. 18, 575-657 (1983). MSC: 58J50 35P05 58J10 58J20 58J35 PDFBibTeX XMLCite \textit{J. Cheeger}, J. Differ. Geom. 18, 575--657 (1983; Zbl 0529.58034) Full Text: DOI
Alvarez-Gaume, Luis Supersymmetry and the Atiyah-Singer index theorem. (English) Zbl 0528.58034 Commun. Math. Phys. 90, 161-173 (1983). MSC: 58J20 58D30 81T08 58A12 58A14 57R20 PDFBibTeX XMLCite \textit{L. Alvarez-Gaume}, Commun. Math. Phys. 90, 161--173 (1983; Zbl 0528.58034) Full Text: DOI Backlinks: MO
Berline, Nicole; Vergne, Michele Fourier transforms of orbits of the coadjoint representation. (English) Zbl 0527.22010 Representation theory of reductive groups, Proc. Conf., Park City/ Utah 1982, Prog. Math. 40, 53-67 (1983). MSC: 22E30 53C65 58J20 22C05 PDFBibTeX XML
Kasparov, G. G. An index for invariant elliptic operators, K-theory, and representations of Lie groups. (English. Russian original) Zbl 0526.22007 Sov. Math., Dokl. 27, 105-109 (1983); translation from Dokl. Akad. Nauk SSSR 268, 533-537 (1983). MSC: 22D12 55R50 22E45 58J20 PDFBibTeX XMLCite \textit{G. G. Kasparov}, Sov. Math., Dokl. 27, 105--109 (1983; Zbl 0526.22007); translation from Dokl. Akad. Nauk SSSR 268, 533--537 (1983)
Katz, Gabriel Some realization theorems in equivariant L-theory and calculations of G- signature. (English) Zbl 0525.57029 Am. J. Math. 105, 939-973 (1983). MSC: 57R91 57R67 58J20 57S17 PDFBibTeX XMLCite \textit{G. Katz}, Am. J. Math. 105, 939--973 (1983; Zbl 0525.57029) Full Text: DOI
Taubes, Clifford Henry Stability in Yang-Mills theories. (English) Zbl 0524.58020 Commun. Math. Phys. 91, 235-263 (1983). MSC: 53D50 58J20 53C80 57R20 58E15 81T08 PDFBibTeX XMLCite \textit{C. H. Taubes}, Commun. Math. Phys. 91, 235--263 (1983; Zbl 0524.58020) Full Text: DOI
Smith, Donald E. The Atiyah-Singer invariant, torsion invariants, and group actions on spheres. (English) Zbl 0521.57034 Trans. Am. Math. Soc. 277, 469-488 (1983). MSC: 57S25 57S17 58J20 55Q50 55Q91 PDFBibTeX XMLCite \textit{D. E. Smith}, Trans. Am. Math. Soc. 277, 469--488 (1983; Zbl 0521.57034) Full Text: DOI
Frid, H.; Javier Thayer, F. The Morse index theorem for elliptic problems with a constraint. (English) Zbl 0519.58023 An. Acad. Bras. Cienc. 55, 9-10 (1983). MSC: 58E05 58J10 58J20 PDFBibTeX XMLCite \textit{H. Frid} and \textit{F. Javier Thayer}, An. Acad. Bras. Ciênc. 55, 9--10 (1983; Zbl 0519.58023)
Donaldson, S. K. Self-dual connections and the topology of smooth 4-manifolds. (English) Zbl 0519.57012 Bull. Am. Math. Soc., New Ser. 8, 81-83 (1983). MSC: 57N13 58J20 53C05 57R55 58E05 57R19 57R20 53C80 81T08 PDFBibTeX XMLCite \textit{S. K. Donaldson}, Bull. Am. Math. Soc., New Ser. 8, 81--83 (1983; Zbl 0519.57012) Full Text: DOI
Gilkey, Peter B.; Smith, Lance The eta invariant for a class of elliptic boundary value problems. (English) Zbl 0512.58035 Commun. Pure Appl. Math. 36, 85-131 (1983). MSC: 58J50 35P05 58J20 PDFBibTeX XMLCite \textit{P. B. Gilkey} and \textit{L. Smith}, Commun. Pure Appl. Math. 36, 85--131 (1983; Zbl 0512.58035) Full Text: DOI
Gilkey, Peter B.; Smith, Lance The twisted index problem for manifolds with boundary. (English) Zbl 0507.58042 J. Differ. Geom. 18, 393-444 (1983). MSC: 58J20 57R20 58J50 PDFBibTeX XMLCite \textit{P. B. Gilkey} and \textit{L. Smith}, J. Differ. Geom. 18, 393--444 (1983; Zbl 0507.58042) Full Text: DOI